If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 0 = 2(3w)(w) + 2(50 + -3w2)(w) + 2(3w)(50 + -3w2) Remove parenthesis around (3w) 0 = 2 * 3w(w) + 2(50 + -3w2)(w) + 2(3w)(50 + -3w2) Multiply 2 * 3 0 = 6w * w + 2(50 + -3w2)(w) + 2(3w)(50 + -3w2) Multiply w * w 0 = 6w2 + 2(50 + -3w2)(w) + 2(3w)(50 + -3w2) Reorder the terms for easier multiplication: 0 = 6w2 + 2w(50 + -3w2) + 2(3w)(50 + -3w2) 0 = 6w2 + (50 * 2w + -3w2 * 2w) + 2(3w)(50 + -3w2) 0 = 6w2 + (100w + -6w3) + 2(3w)(50 + -3w2) Remove parenthesis around (3w) 0 = 6w2 + 100w + -6w3 + 2 * 3w(50 + -3w2) Multiply 2 * 3 0 = 6w2 + 100w + -6w3 + 6w(50 + -3w2) 0 = 6w2 + 100w + -6w3 + (50 * 6w + -3w2 * 6w) 0 = 6w2 + 100w + -6w3 + (300w + -18w3) Reorder the terms: 0 = 100w + 300w + 6w2 + -6w3 + -18w3 Combine like terms: 100w + 300w = 400w 0 = 400w + 6w2 + -6w3 + -18w3 Combine like terms: -6w3 + -18w3 = -24w3 0 = 400w + 6w2 + -24w3 Solving 0 = 400w + 6w2 + -24w3 Solving for variable 'w'. Remove the zero: -400w + -6w2 + 24w3 = 400w + 6w2 + -24w3 + -400w + -6w2 + 24w3 Reorder the terms: -400w + -6w2 + 24w3 = 400w + -400w + 6w2 + -6w2 + -24w3 + 24w3 Combine like terms: 400w + -400w = 0 -400w + -6w2 + 24w3 = 0 + 6w2 + -6w2 + -24w3 + 24w3 -400w + -6w2 + 24w3 = 6w2 + -6w2 + -24w3 + 24w3 Combine like terms: 6w2 + -6w2 = 0 -400w + -6w2 + 24w3 = 0 + -24w3 + 24w3 -400w + -6w2 + 24w3 = -24w3 + 24w3 Combine like terms: -24w3 + 24w3 = 0 -400w + -6w2 + 24w3 = 0 Factor out the Greatest Common Factor (GCF), '2w'. 2w(-200 + -3w + 12w2) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'w' equal to zero and attempt to solve: Simplifying w = 0 Solving w = 0 Move all terms containing w to the left, all other terms to the right. Simplifying w = 0Subproblem 2
Set the factor '(-200 + -3w + 12w2)' equal to zero and attempt to solve: Simplifying -200 + -3w + 12w2 = 0 Solving -200 + -3w + 12w2 = 0 Begin completing the square. Divide all terms by 12 the coefficient of the squared term: Divide each side by '12'. -16.66666667 + -0.25w + w2 = 0 Move the constant term to the right: Add '16.66666667' to each side of the equation. -16.66666667 + -0.25w + 16.66666667 + w2 = 0 + 16.66666667 Reorder the terms: -16.66666667 + 16.66666667 + -0.25w + w2 = 0 + 16.66666667 Combine like terms: -16.66666667 + 16.66666667 = 0.00000000 0.00000000 + -0.25w + w2 = 0 + 16.66666667 -0.25w + w2 = 0 + 16.66666667 Combine like terms: 0 + 16.66666667 = 16.66666667 -0.25w + w2 = 16.66666667 The w term is -0.25w. Take half its coefficient (-0.125). Square it (0.015625) and add it to both sides. Add '0.015625' to each side of the equation. -0.25w + 0.015625 + w2 = 16.66666667 + 0.015625 Reorder the terms: 0.015625 + -0.25w + w2 = 16.66666667 + 0.015625 Combine like terms: 16.66666667 + 0.015625 = 16.68229167 0.015625 + -0.25w + w2 = 16.68229167 Factor a perfect square on the left side: (w + -0.125)(w + -0.125) = 16.68229167 Calculate the square root of the right side: 4.084396121 Break this problem into two subproblems by setting (w + -0.125) equal to 4.084396121 and -4.084396121.Subproblem 1
w + -0.125 = 4.084396121 Simplifying w + -0.125 = 4.084396121 Reorder the terms: -0.125 + w = 4.084396121 Solving -0.125 + w = 4.084396121 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '0.125' to each side of the equation. -0.125 + 0.125 + w = 4.084396121 + 0.125 Combine like terms: -0.125 + 0.125 = 0.000 0.000 + w = 4.084396121 + 0.125 w = 4.084396121 + 0.125 Combine like terms: 4.084396121 + 0.125 = 4.209396121 w = 4.209396121 Simplifying w = 4.209396121Subproblem 2
w + -0.125 = -4.084396121 Simplifying w + -0.125 = -4.084396121 Reorder the terms: -0.125 + w = -4.084396121 Solving -0.125 + w = -4.084396121 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '0.125' to each side of the equation. -0.125 + 0.125 + w = -4.084396121 + 0.125 Combine like terms: -0.125 + 0.125 = 0.000 0.000 + w = -4.084396121 + 0.125 w = -4.084396121 + 0.125 Combine like terms: -4.084396121 + 0.125 = -3.959396121 w = -3.959396121 Simplifying w = -3.959396121Solution
The solution to the problem is based on the solutions from the subproblems. w = {4.209396121, -3.959396121}Solution
w = {0, 4.209396121, -3.959396121}
| 3(a^2+2a)=2a^2-9 | | 2w^2+5w-42=0 | | B^3=-4b^2-4b | | 7t^2-38t-77=0 | | 0.7x-1.2=0.9 | | 11(c-5)+7=3+c-51 | | 0.5(4x+8)=1.1-(x-3) | | 7[3x-2]=21x-14 | | 2c(c-8)=-30 | | 16m^2=9 | | 3x^4-8x^2+2x-4=0 | | -3y-12=4y+9 | | (2+4a)2=21 | | r=2m+2u | | 5t-2(t-7)=0 | | f=kry | | 6(x+2)=3(2x+6)-6 | | -(5y+1)-(-4y-7)=6 | | .27(10000)-.02y=.08(y+10000) | | 2y^3+14y^2=-20y | | .45x+.05(4-x)=.10(74) | | .30(18)+.05x=.15(24+x) | | (36)x-37(6x)+36=0 | | 9-2x=16+5x | | x^5-2x^4-24x^3=0 | | -3p+7=6-(8p+3) | | (y(7y-27))-4=0 | | 5k=20 | | 1.8(4-x)=1.6(2-x) | | 4x^3-16x^2-1x+4=0 | | 6x(6x+10)=-25 | | (6x(6x-10))+25=0 |